Question

What are the coordinates of the vertex of the quadratic function having a minimum value of –1 and roots located at (–3, 0) and (–5, 0)?
plz help I'm really lost!

Answer 1

Answer:

The coordinates of the vertex will be (-4,-1)

Step-by-step explanation:

Let's recall that the vertex is in the middle point of the roots of a quadratic function.

The root are (-3,0) and (-5,0) so the x-value of the vertex will be:

$x_{vertex}=\frac{-5-(-3)}{2}-3$

$x_{vertex}=-1-3=-4$

The y-value of the vertex is given by the minimum value, that is -1

Therefore, the coordinates of the vertex will be (-4,-1)      

I hope it hleps you!